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dc.contributor.authorHamel, AH
dc.date.accessioned2015-06-18T13:12:51Z
dc.date.available2015-06-18T13:12:51Z
dc.date.issued2003
dc.identifier.issn0002-9939
dc.identifier.urihttp://www.ams.org/journals/proc/2003-131-10/S0002-9939-03-07066-7/
dc.identifier.urihttp://hdl.handle.net/10863/641
dc.description.abstractA generalization of Phelps' lemma to locally convex spaces is proven, applying its well-known Banach space version. We show the equivalence of this theorem, Ekeland's principle and Danes' drop theorem in locally convex spaces to their Banach space counterparts and to a Pareto efficiency theorem due to Isac. This solves a problem, concerning the drop theorem, proposed by G. Isac in 1997. We show that a different formulation of Ekeland's principle in locally convex spaces, using a family of topology generating seminorms as perturbation functions rather than a single (in general discontinuous) Minkowski functional, turns out to be equivalent to the original version.en_US
dc.titlePhelps’ Lemma, Danes’ Drop theorem and Ekeland’s principle in locally convex spacesen_US
dc.typeArticleen_US
dc.date.updated2014-09-25T13:26:49Z
dc.language.isiEN-GB
dc.journal.titleProceedings of the American Mathematical Society
dc.description.fulltextnoneen_US


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